1. Non-linear control under state constraints with validated trajectories for a mobile robot towing a trailer
- Author
-
Joris Tillet, Luc Jaulin, Fabrice Le Bars, Lab-STICC_ENSTAB_CID_PRASYS, Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC), École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-Université Bretagne Loire (UBL)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-École Nationale d'Ingénieurs de Brest (ENIB)-Université de Bretagne Sud (UBS)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-Université Bretagne Loire (UBL)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), and Institut Mines-Télécom [Paris] (IMT)
- Subjects
0209 industrial biotechnology ,tank-trailer ,Computer science ,Lie derivatives ,state constraints ,Trailer ,Mobile robot ,0102 computer and information sciences ,02 engineering and technology ,Nonlinear control ,01 natural sciences ,[SPI.AUTO]Engineering Sciences [physics]/Automatic ,Set (abstract data type) ,Nonlinear system ,020901 industrial engineering & automation ,010201 computation theory & mathematics ,Control theory ,mobile robots ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,Robot ,Interval analysis ,nonlinear control ,Towing - Abstract
International audience; In this paper, we propose a set-inversion approach to validate the controller of a nonlinear system that should satisfy some state constraints. We introduce the notion of follow set which corresponds to the set of all output vectors such that the desired dynamics can be followed without violating the state-constraints. This follow set can then be used to choose feasible trajectories that a mobile robot will be able to follow. An illustrative example with a robot towing a trailer is presented. This example is motivated by the safe control of a boat towing a marine magnetique sensor to find wrecks.
- Published
- 2020
- Full Text
- View/download PDF